Simulation of motion in a cycloidal gear. Part II. Loaded gear
- Authors: Tchufistov E.A.1, Tchufistov O.E.2, Blagojević M.3, Vasic M.4
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Affiliations:
- Penza State University
- Penza State Technological University
- University of Kragujevac
- The Academy of Applied Tecnical Studies Belgrade
- Issue: No 1 (2025)
- Pages: 92-105
- Section: MACHINE SCIENCE AND BUILDING
- URL: https://journal-vniispk.ru/2072-3059/article/view/291592
- DOI: https://doi.org/10.21685/2072-3059-2025-1-8
- ID: 291592
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Abstract
Background. The article considers the motion in a planetary-pinion (cycloidal) gear made according to the k-h-v scheme. The presented research combines kinematic analysis with analysis of angular stiffness of gear. The method of calculating the rotation inaccuracy of the output element of gear is based on identifying the forces acting in the gear, taking into account the manufacturing inaccuracies of gear details and geometric ratios in the gear itself and their effect on the inaccuracy of the angle of rotation of the output shaft. The purpose of the study is to use techniques and algorithms to establish the law of rotation of the driven element of the loaded gear. Materials and methods. Deformations in contact pairs are determined by the method of designing manufacturing inaccuracies, modifying the tooth profile and moving the tooth profiles due to the loading of the gear on the profile contact normal. The stiffness characteristics of the contact pair are determined using classical Hertz contact mechanics. The toothing forces in an arbitrary position of the satellite and the pinwheel are calculated using an iterative algorithm. To obtain quantitative characteristics, computer modeling in the Mathcad system is used. Results. An algorithm is proposed for calculating the inaccurancy of the rotation angle of the driven element of a loaded planetary- pinion gear with modification of the profile of the teeth of the satellite and the eccentricity of the satellite. Calculations and analysis of the obtained results are performed. The influence of the load on the accuracy of rotation in the gear is shown. Conclusions. The proposed solution allows us to take into account the combined effect of uniform modification of tooth profiles, satellite eccentricity and load on the inaccurancy of the angle of rotation of the output element of the loaded gear. To create precision drives that meet modern requirements, techniques are needed that take into account the integral kinematic and deformation characteristics of toothing.
About the authors
Evgeniy A. Tchufistov
Penza State University
Author for correspondence.
Email: ea_tchufistov@mail.ru
Candidate of engineering sciences, professor, professor of the sub-department of transport machines
(40 Krasnaya street, Penza, Russia)Oleg E. Tchufistov
Penza State Technological University
Email: tchufistov@mail.ru
Candidate of engineering sciences, associate professor, associate professor of the sub-department of mechanical
engineering technology
Mirko Blagojević
University of Kragujevac
Email: mirkob@kg.ac.rs
Professor of the faculty of engineering
(6 Sestre Janic street, Kragujevac, Serbia)Milan Vasic
The Academy of Applied Tecnical Studies Belgrade
Email: mvasic@atssb.edu.rs
Postgraduate student of technical college of applied studies
(3 Katarine Ambrozić street, Belgrade, Serbia)References
- Rodikov A.V. The influence of primary engagement errors of the planetary pinion gear on the kinematic accuracy of rotation of the output shaft. Avtomobile- i traktorostroenie v Rossii: prioritety razvitiya i podgotovka kadrov: materialy Mezhdunar. nauch.-tekhn. konf. (g. Moskva, 17 noyabrya 2010 g.) = Automobile and tractor manufacturing in Russia: development priorities and personnel training: proceedings of the International scientific and engineering conference (Moscow, November 17, 2010). Moscow: MGTU «MAMI», 2010:106–109. (In Russ.)
- Rodikov A.V., Gureev E.A. The influence of the error of the circumferential pitch of the planetary pinion gear on the kinematic accuracy of rotation of the output shaft. Sbornik trudov molodykh uchenykh Penzenskogo gosudarstvennogo universiteta = Collection of works of young scientists of Penza State University. Penza: Izd-vo PGU, 2011:57–61. (In Russ.)
- Egorov I.M., Aleksanin S.A., Fedosovskiy M.E., Kryazheva N.P. Mathematical modeling of manufacturing errors in the elements of the planetary gearbox pinion transmission. Nauchno-tekhnicheskiy vestnik informatsionnykh tekhnologiy, mekhaniki i optiki = Scientific and technical journal of information technologies, mechanics and optics. 2014;(6):S. 171–176. (In Russ.)`
- Li C., Liu J., Sun T. Study on transmission precision of cycloidal pin gear in 2K-V planetary drives. Chinese Journal of Mechanical Engineering. 2001;37(4):61–65.
- Shirokoshi N., Hidaka T., Kasei S. Studies of influences of geometrical errors to final performances in small backlash planetary gears. Relations among position deviations of planet gears, target of backlash and nonworking flank load. Transactions of the Japan Society of Mechanical Engineers Series C. 2000;66(646):1950–1958.
- Guan T.M. Calculation and analysis on the return error resulting from cycloid-disk modification in the cycloid drive. Modular Machine Tool and Automatic Manufacturing Technique. 2001;10:15–18.
- Hidaka T., Wang H., Ishida T., Matsumota K., Hashimota M. Rotational transmission error of K-H-V planetary gears with cycloid gear. Transactions of the Japan Society of Mechanical Engineers Series C. 1994;60(570):645–653.
- Anh Duc Pham Torsional rigidity analysis of cycloid reducers considering tolerances Conference Paper November 2015 doi: 10.15625/vap.2016.000088 16th Asia Pacific Vibration Conference 24-26 November, 2015 HUST, Hanoi, Vietnam.
- Linh Tran, Anh Duc Pham, and Hyeong-Joon Ahn Lost Motion Analysis of one stage cycloid reducer considering tolerances International journal of precision engineering and manufacturing Vol. 17, No. 8, pp. 1009-1016 2016 / 1009 KSPE and Springer 2016.
- Tchufistov E A and Tchufistov O E Simulation of satellite bearings loading in planetary cycloid gear IOP Conference Series: Materials Science and Engineering, 2020, 971(4).
- Tchufistov E.A., Tchufistov O.E., Blagojević M., Vasic M. Simulation of motion in a cycloidal gear. Part I: unloaded gear. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Tekhnicheskie nauki = University proceedings. Volga region. Engineering sciences. 2024;(4):92–108. (In Russ.). doi: 10.21685/2072-3059-2024-4-8
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